In this case, I believe you need to use an expression like the one below:
Search for Dot Parties Live:first item’s previous numbers: minus list Current Cell’s Submission’s bingoo:converted to number:count < 1
This means that you are checking out if the full list stored in your “previous numbers” field when you subtract from it all the items stored in your “bingoo” field after converting it to numbers instead of text, then the difference will be < 1 (i.e. the whole “previous numbers” list is included in the “bingoo” list).
Does this solve your problem ?