The disciples at Tyre "said to Paul through the Spirit that he should not go up to Jerusalem" (21:4). Was Paul going against the Spirit when he went?

The chapter sets down what was said and what Paul did, and doesn't say how they fit. At Tyre, the disciples "said to Paul through the Spirit that he should not go up to Jerusalem" (21:4). At Caesarea, Agabus said, "The Holy Spirit says: ‘So the Jews at Jerusalem will bind the man who owns this belt, and will deliver him into the hands of the Gentiles.’" (21:11), and "both we and the people of that place begged him not to go up to Jerusalem" (21:12). Paul answered that he was ready "not only to be bound, but also to die at Jerusalem for the name of the Lord Jesus" (21:13). "When he would not be persuaded, we ceased, saying, “The Lord’s will be done.”" (21:14). Acts gives each of these in its own words and doesn't say whether Paul was right to go; these notes don't say either. What Paul himself said of the Spirit before he set out (20:22-23) is asked about in Favor's Acts 20, in the honest question about being bound by the Spirit; this question doesn't answer that one, and that one doesn't answer this.