Odd! I think this is the bill?

https://bills.parliament.uk/bills/3755/publications

It's rather hard to read because the amendments are written as a diff, but it seems to imply the undisclosed number is 87 peers. I guess they need to decide amongst themselves who the lucky 87 are?

https://publications.parliament.uk/pa/bills/cbill/59-01/0295... Bill 295 2024-25 (Lords Amendments)

    “1. (2) (2) No more than 87 people at any one time shall be excepted from section 1.”

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Edit: Wow, is this ever hard to pin down. I think section 1 of the lord's amendments were dropped here: https://bills.parliament.uk/bills/3755/stages/20179/motionsa...

which I guess means that the text remains the same as the original text in HL-49 (https://bills.parliament.uk/publications/56858/documents/533...):

    # Exclusion of remaining hereditary peers
    Omit section 2 of the House of Lords Act 1999 (exception to exclusion of hereditary peers from membership of House of Lords).

which is a patch onto another law, that is linked to in the PDF but for whatever reason does not resolve for me: https://www.legislation.gov.uk/ukpga/1999/34/contents.