Child tax credit missed in 2019

My daughter was born in second half of 2019 and when I filled my tax last year I accidentally entered less than 6 months in the dependent section. I should have selected the whole year option since the was born in 2019. I received $500(other dependent) as tax credit instead of $2000(child tax credit). This has repercussions everywhere with both my first stimulus check and second stimulus check all receiving no credit for the child.

 

Should I have to amend my 2019 return before applying to the recovery rebate credit in 2020 tax return?