I would suggest that you contact your employer and ask them to adjust your state withholdings. There are a couple of ways to handle this.
One, if you know what the tax rate is you can ask them to withhold that percentage for each pay period.
Or take the amount of tax you owe for this year and divide it by the number of remaining tax periods and ask that they withhold an additional amount for the state for the remainder of the year. For instance, if you are paid weekly there are 33 pay periods remaining for 2022. Take the amount owed of $4,000 and divide by 33 and that is the amount of additional tax to withhold per pay period for the remainder of the year ($121 per pay period). For a biweekly payroll, there would be 19 pay periods remaining which would be about $210 per pay period.
