adding dates based on quarter

Hiya,

I am trying to create a formula to add specific dates based on the selected Quarter.

e.g., I select 'Y3Q1' in the Quarter column and it outputs '9/1/2023' in the Date column.

I thought I could do this with IF statements but its a no-go:

IF([Column13]@row= "Y1Q1 " , " 9/1/21 " , IF ( [Column13]@row= " Y1Q2 " , " 12/1/21 " , IF ( [Column13]@row= " Y1Q3 " , " 3/1/22 " , IF ( [Column13]@row= " Y1Q4 " , " 6/1/22 " , IF ( [Column13]@row= " Y2Q1 " , " 9/1/22 " , IF ( [Column13]@row= " Y2Q2 " , " 12/1/22 " , IF ( [Column13]@row= " Y2Q3 " , " 3/1/23 " , IF ( [Column13]@row= " Y2Q4 " , " 6/1/23 " , IF ( [Column13]@row= " Y3Q1 " , " 9/1/23 " , IF ( [Column13]@row= " Y3Q2 " , " 12/1/23 " , IF ( [Column13]@row= " Y3Q3 " , " 3/1/24 " , IF ( [Column13]@row= " Y4Q4 " , " 6/1/24 " , IF ( [Column13]@row= " Y4Q1 " , " 9/1/24 " , IF ( [Column13]@row= " Y4Q2 " , " 12/1/24 " , IF ( [Column13]@row= " Y4Q3 " , " 3/1/25 " , IF ( [Column13]@row= " Y4Q4 " , " 6/1/25 " , IF ( [Column13]@row= " Y5Q1 " , " 9/1/25 " , IF ( [Column13]@row= " Y5Q2 " , " 12/1/25 " , IF ( [Column13]@row= " Y5Q3 " , " 3/1/26 " , IF ( [Column13]@row= " Y5Q4 " , " 6/1/26 " , 

Any insight would be appreciated!

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