Losetup not working

What doesn't work?

                                                                                                           Disk: /dev/mmcblk0
                                                                                          Size: 28.86 GiB, 30989615104 bytes, 60526592 sectors
                                                                                                   Label: dos, identifier: 0x36a1832e

    Device                             Boot                                        Start                         End                     Sectors                     Size                    Id Type
>>  Free space                                                                      2048                        8191                        6144                       3M                                                                
    /dev/mmcblk0p1                     *                                            8192                      139263                      131072                      64M                     c W95 FAT32 (LBA)
    Free space                                                                    139264                      147455                        8192                       4M
    /dev/mmcblk0p2                                                                147456                    60526591                    60379136                    28.8G                    83 Linux

fdisk: cannot open /dev/loop1: Not a tty

nor
cfdisk: cannot open /dev/loop1: Not a tty

Which device is this? And what is mounted?
ubus call system board; mount

ubus call system board; mount
{
	"kernel": "5.10.161",
	"hostname": "OpenWrt",
	"system": "ARMv8 Processor rev 4",
	"model": "Bananapi BPI-R64",
	"board_name": "bananapi,bpi-r64",
	"rootfs_type": "squashfs",
	"release": {
		"distribution": "OpenWrt",
		"version": "22.03.3",
		"revision": "r20028-43d71ad93e",
		"target": "mediatek/mt7622",
		"description": "OpenWrt 22.03.3 r20028-43d71ad93e"
	}
}
/dev/root on /rom type squashfs (ro,relatime)
proc on /proc type proc (rw,nosuid,nodev,noexec,noatime)
sysfs on /sys type sysfs (rw,nosuid,nodev,noexec,noatime)
cgroup2 on /sys/fs/cgroup type cgroup2 (rw,nosuid,nodev,noexec,relatime,nsdelegate)
tmpfs on /tmp type tmpfs (rw,nosuid,nodev,noatime)
/dev/mmcblk1p66 on /overlay type f2fs (rw,lazytime,noatime,background_gc=on,discard,no_heap,user_xattr,inline_xattr,inline_data,inline_dentry,flush_merge,extent_cache,mode=adaptive,active_logs=6,alloc_mode=reuse,fsync_mode=posix)
overlayfs:/overlay on / type overlay (rw,noatime,lowerdir=/,upperdir=/overlay/upper,workdir=/overlay/work)
tmpfs on /dev type tmpfs (rw,nosuid,noexec,noatime,size=512k,mode=755)
devpts on /dev/pts type devpts (rw,nosuid,noexec,noatime,mode=600,ptmxmode=000)
debugfs on /sys/kernel/debug type debugfs (rw,noatime)
none on /sys/fs/bpf type bpf (rw,nosuid,nodev,noexec,noatime,mode=700)
pstore on /sys/fs/pstore type pstore (rw,noatime)

Try with the correct argument cfdisk /dev/mmcblk1

That gives me the following

                               Disk: /dev/mmcblk1
              Size: 29.72 GiB, 31914983424 bytes, 62333952 sectors
          Label: gpt, identifier: 5452574F-2211-4433-5566-778899AABB00

    Device                Start        End    Sectors    Size Type
    /dev/mmcblk1p1         1024       2047       1024    512K Linux filesystem
    Free space             2048       4095       2048      1M
    /dev/mmcblk1p2         4096       8191       4096      2M EFI System
    /dev/mmcblk1p3         8192      10239       2048      1M Linux filesystem
    Free space            10240      12287       2048      1M
    /dev/mmcblk1p4        12288      77823      65536     32M Linux filesystem
    /dev/mmcblk1p5        77824      92159      14336      7M Linux filesystem
>>  /dev/mmcblk1p6        92160     305151     212992    104M unknown           
    /dev/mmcblk1p7       305152     509951     204800    100M Linux filesystem
    /dev/mmcblk1p128         34       1023        990    495K BIOS boot
    Free space           509952   62333918   61823967   29.5G

Where is the offset?

The offset from the beginning of the disk? That is the start.

I need to locate the offset for the root partition (/dev/mmcblk1p6, I think)

I am wanting to expand the roots to use the remainder of the space on the sd card 29.6GB.

By the looks of it, you can only expand mmcblk1p7

Well, that is a waste of sd card space.

Try moving partition 128 to the end of the storage, using gparted, then see if you device still boots.

Try both moving partition 128 and copying and recreation mmcblk1p6 using gparted but then the device failed to boot both times.

Edit:

even using the disk utility it did not like partition 6 being resized! it too failed to boot after that.

Just tried this code and it appears that it could work although, I have no idea why the offset it not being returned?

It looks like your R64 setup does not use a loop device for the writable part of the overlay filesystem so using losetup does not apply.

Systems using losetup show a loop device in the mount command output like:
/dev/loop0 on /overlay type f2fs (rw,noatime)

Your mount command shows:
/dev/mmcblk1p66 on /overlay type f2fs (rw,lazytime,noatime,background_gc=on,discard,no_heap,user_xattr,inline_xattr,inline_data,inline_dentry,flush_merge,extent_cache,mode=adaptive,active_logs=6,alloc_mode=reuse,fsync_mode=posix)

It looks like you found help for resizing the rootfs_data on an emmc installation in this other thread:
EDIT: rootfs_data and not rootfs.

So I should try resizing the Rootfs after installing emmc?

Oops! I shared rootfs when it is really rootfs_data. Sorry!
I will edit the previous post and correct it.

I won't suggest what you should or should not do. I just pointed out what looks like a solution to have access to more space on storage.

My recommendation is to not use emmc for frequently updated data like log files, database files, other frequently written files as on-board raw nand and nor flash implementations don't have wear leveling like the integrated controllers on sd cards and usb flash drives have. Once failed, the on-board flash storage tends to be unusable.

If the instruction in the other thread are not good for your use-case:
If you want to install more packages, my recommendation is to use the "Customize installed packages" option on the firmware selector site:
https://firmware-selector.openwrt.org/?version=22.03.3&target=mediatek%2Fmt7622&id=bananapi_bpi-r64

The writable area of /overlay/ is still created with 100 Megabytes of free space and you have to download/install an upgrade image anyways with each upgrade.

I tested a custom build for the R64 and it generates all six of the production image types, all under a minute :-).
Only the "Kernel" (recovery) image is not included. I think that is because it is not customized and is always available as the standard build.

If you want more space for logs or application data, I recommend mounting a partition on inexpensive and easily replaced storage meant for frequent writes like a usb disk, usb flash drive, or even a good quality sd-card.

Share what your end goal is, that is - what your use case is for having more storage and we can provide you with the appropriate recommendation and probably detailed help.

Is it possible to use a empty partition on the sd card that has openwrt on it? If so how?

After adding the empty partition to empty space on an sd card and formatting a filesystem on it, Yes.

How it is used depends on your use case.

Was trying to implement extroot on the partition of the sd card but it is not working. Everytime I try to change the "/overlay" to the partition of the sdcard it remains as "mmcblk1p66" (the default /overlay on R64).