SPD cleats.

Edit: https://www.amazon.com/BV-Bike-Cleats-Compatible-Shimano/dp/B07BRDVJ5J

If the shoes you bought are the same as pictured:

https://www.amazon.com/Cycling-Compatible-Peloton-Shimano-Pre-Installed/dp/B09PNJQCR6

then you do not need to buy new shoes. Instead, you need to remove the cleats with the 3 bolt style currently installed, and purchase then install the 2 bolt SPD type:

https://www.amazon.com/BV-Bike-Cleats-Compatible-Shimano/dp/B07BRDVJ5J/ref=sr_1_1_sspa?crid=3BKE9EM52O9C3&keywords=spd+cleat&qid=1684236975&sprefix=spd+clea%2Caps%2C309&sr=8-1-spons&psc=1&smid=A30U5R8UY24S21&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUFNMkxBV0ExNEROTjImZW5jcnlwdGVkSWQ9QTA4NTU2OTU3TERGRTlRVUVDNVQmZW5jcnlwdGVkQWRJZD1BMDc5MDY2MTJZNVMyVzVDWVJLNEcmd2lkZ2V0TmFtZT1zcF9hdGYmYWN0aW9uPWNsaWNrUmVkaXJlY3QmZG9Ob3RMb2dDbGljaz10cnVl

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The image from the above shoes shows in yellow where to install the 2-bolt SPD cleats

https://preview.redd.it/e120k2ce180b1.jpeg?width=951&format=pjpg&auto=webp&v=enabled&s=98885f2a729bcd3640e54582172fa1cfc87a0d30