Carmelo Anthony has his first chance to formally reject the Knicks in two weeks. Feb. 22 marks the third anniversary of the trade between the Knicks and Nuggets, who visit the Garden Friday, that brought Anthony to New York. At the time of the deal, Anthony signed a contract extension with the Knicks. According to NBA rules, the Knicks can officially extend his contract again on the third-year anniversary of the deal. However, Anthony, who was named Eastern Conference Player of the Month for January, said in the preseason he wanted to test the free-agent market July 1 and opt out of the final season of his contract. He is expected to pass on his first chance to recommit to the Knicks and any offer from the team could be a mere formality. The Knicks can make an offer of adding two more years onto next season’s final year. If Anthony wanted to make a shorter-term commitment, the remaining length of his contract after this season would be for three years, $75.5 million. Agreeing to an extension would limit the risk of a potential serious injury in the final two months of the regular season and playoffs. That would be the strongest reason to reconsider for Anthony, who had a left shoulder tear in last season’s playoffs. An extension would tie him up through the 2016-2017 season, when he would be 32 years old and able to sign another lucrative deal. However, Anthony’s stated plan is to opt out of the contract, which would have paid him $23.4 million in 2014-15, and start from scratch. He could then re-sign with the Knicks for a max of five years and $129 million. If he finds a team well under the cap such as the Lakers, he would be eligible to sign for four years, $95 million. That’s one year and $20 million more than if he did an extension now with the Knicks.