You will receive a Form 1099-R from the 401(k) plan administrator in January of 2023. The form is entered on your 2022 tax return. The gross amount distributed is added to your other income and taxed at your current tax rate. Federal taxes withheld are entered on your federal tax return as a tax payment.
The pension payment is entered on Form 1040 Line 5a and the taxable amount on Line 5b. Federal taxes withheld are entered on Line 25b