Flaky scalp , redness and losing hair in patches

Manasa

My 2 month 14 week old’s got a really bad flaky scalp with some redness and losing lotsa hair in some patches , like there is almost no hair in some patches. Has anyone faced it ? I don’t think it’s cradle cap bcoz it doesn’t look like a yellow sheet . We live in Chicago and it’s extremely cold and dry here.

Already contacted the care team and waiting for their response.

Please suggest