I burned the tip of my tongue about a month
Use metronidazole mouth paste.
Thanks for the query.
Tongue is highly vascular and thus burnt tongue will heal well.
You can rinse it with water and apply icepacks for symptomatic relief. You can also apply metronidazole mouth paste as there is debris and signs of infection.
As of now you can use analgesics/anti inflammatory combination like aceclofenac/seratiopeptdase for pain relief.
Wishing all the best