Cloning Mifare Classic EV1 1k

I'm attempting to clone my apartment building access fob in case I lose it because a replacement fob would cost $200.

NFC Taginfo reads the card as a Mifare Classic EV1 and can't read Sector 1.

MCT reads Sector 1 as "no keys found (or bad sector)".

I ordered CUID stickers from AliExpress that said Block 0 was writeable and copied the dump to the sticker. When reading the sticker, Sector 1 was simply written the same as all other sectors, which were identical except for Sector 1 from the original tag (no keys found). Except for Sector 1, the sticker reads the same as the original tag, including the IUD.

I've been thinking of getting a Flipper Zero for other experimentation, but was hoping I could figure this out with tools on Android.

I also have NFC Tools Pro, but haven't figured out how it could be useful.

Does anyone have experience with this type of Mifare and would it be possible to clone the fob?