Had this issue as well, fixed it with re baking my skates, and wearing these https://www.amazon.com/ZenToes-Padded-Skate-Socks-Protection/dp/B073BZJQXJ/ref=mp_s_a_1_4?dchild=1&keywords=zentoes+ankle&qid=1625265707&sr=8-4 Building up ankle strength will help as well like others have suggested. I have a scar on one ankle from having rubbed way too raw.
I get (used to) the same thing after I started a little more than 5 years ago. I picked up these gel sleeve things and have been wearing them ever since.
I had it pretty bad last year. I got these and these helped a lot. Time is the best answer but I refused to stop playing. https://www.amazon.com/dp/B073BZJQXJ/ref=cm_sw_r_cp_api_i_G35BDYMYA0CHBA0RC1NK?_encoding=UTF8&psc=1
These gel pads helped me alleviate lace bite. Once it went away I haven't needed them.
https://www.amazon.com/gp/product/B073BZJQXJ/ref=ppx_yo_dt_b_asin_title_o01_s00?ie=UTF8&psc=1
ZenToes Padded Skate Socks for Lace Bite Protection - 1 Pair - for Hockey, Skating and Tall Boots https://www.amazon.com/dp/B073BZJQXJ/ref=cm_sw_r_cp_api_glt_fabc_8VXH7V5KMZ8JZ6J0FB2X
ZenToes Padded Skate Socks for Lace Bite Protection - 1 Pair - for Hockey, Skating and Tall Boots https://www.amazon.com/dp/B073BZJQXJ/ref=cm_sw_r_cp_api_glt_fabc_VGNAWRK50WQF2M74GPPP
A related product to the one I purchased for my ankles may help you: