Conversions from a Traditional IRA to a Roth IRA do not count as a Roth IRA contribution and there is no limit to the amount that can be converted.
Since you have already done the conversion and you have a Form 1099-R reporting the distribution from your Traditional IRA, that Form 1099-R is reported as part of your tax return. If the money in the Traditional IRA was tax-deferred or pre-tax, then the conversion will be taxable on your return. You cannot avoid this.
However, the current year Roth IRA Modified Adjusted Gross Income (MAGI) calculation removes any income derived from a Traditional IRA to Roth IRA conversion, so your current year Roth IRA contribution will not be affected by the conversion already completed.
See the following information from the IRS to learn more:
IRS Publication 590 A How Much Can Be Contributed
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