Try something like this

https://www.amazon.com/Jetec-Control-Adapters-Universal-Design/dp/B07N3V6DPG/ref=pd_sbs_3?pd_rd_w=c3fb4&pf_rd_p=c52600a3-624a-4791-b4c4-3b112e19fbbc&pf_rd_r=CD732EEFC20NX8ENXYWW&pd_rd_r=4235a4ec-463b-46b2-92ec-f895185c38f0&pd_rd_wg=MQXTS&pd_rd_i=B07N3V6DPG&psc=1

You can use the proper adapter (in this case, looks like a half moon style adapter).

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EDIT:

https://www.amazon.com/Thermostat-Temperature-Electric-Fan-Forced-Fahrenheat/dp/B07KFMG3H4/ref=pd_lpo_60_t_1/138-7101492-6478216?_encoding=UTF8&pd_rd_i=B07KFMG3H4&pd_rd_r=5d95db2b-dba1-4bd4-9881-9bae5b7aa076&pd_rd_w=zDDIr&pd_rd_wg=tvq9c&pf_rd_p=16b28406-aa34-451d-8a2e-b3930ada000c&pf_rd_r=EG5NNK2K35A8K8EJD6WK&psc=1&refRID=EG5NNK2K35A8K8EJD6WK#customerReviews

Reviews on this one show an identical pattern to yours, and they say it works great.