After doing some careful research for you, I found the calculation is correct, please read further.
The value on line 42 is a percentage of the total credit. To get this amount take the number of days alive divided by 365 (NDA/365)=A. Take the answer or A and Multiply by maximum credit amount (allocated credit amount)=Line 42.
And for the famous line 44, there is a worksheet just above the line 44 called Worksheet 4 and 5 I assumed, with the lowered credit amount. I did manually because it does not show calculations. You may want to check on your end; right above Line 44. Also, remember to allocate; especially since the amount on last line is probably more than your 1197 amount. I do not have your token or file and cannot compare, but when doing and after allocating it will come to the correct amount, especially if a renter over 65 or homeowner. Did some mock returns with annualized incomes between 26000 and 27000 for Michigan and checked out.
Let me know if you have further questions, by tagging me @MichaelG81
@LateFiler2022
[EDITED 03/09/2023 | 12:31 PST]
Yes, for line 44, the allocated amount comes from Line 33 (amount actually made(THR)/annualized income), it has 2 amounts you must divide the total household resources (THR) by the annualized amount. Get that answer and multiply by 1,600 the maximum credit; that is why it is lower than the amount you gave of 1201.
The $1,201 comes from NDA(274)/365=A; Then, Ax1,600= line 42.
THR/Annualized income=B; Bx1,600= Line 44.
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