Is your federal refund big enough to cover the federal and state fees plus the EXTRA $40 Refund Processing Service charge (45 in California)?
Why you can't deduct the fees
https://ttlc.intuit.com/community/charges-and-fees/help/why-can-t-i-deduct-my-turbotax-fees-from-my-refund/00/25621
And I heard you can't use any refundable credits like the Child Tax Credit or Recovery Rebate Credit to cover the fees.