People seem eager to recommend conditional baptism; however the first question, which has not been answered, is "What lists did the OP look at, and where did they come from? The list which is critical is the list which the diocese or archdiocese follows; and we have no information as to either what that list is, or where the others came from, and when they might have been compiled.
The question the OP asks is legitimate; but the legitimate answer lies with the pastor and/or RCIA director, neither of whom has waded in on the matter. Ao the OP should address the matter with either of them, rather than here.
And if the OP is not comfortable with the answer from either of them, the OP could inquire, or preferably have others inquire of the current pastor of the Baptist church where they were baptized as to what is S.O.P. in that denomination. If the answer comes back with the standard formula, then the question has been answered for the purposes of the Church and the validity of the baptism years ago.
If the answer comes back loosey goosey, then the pastor may entertain the issue of a conditional baptism. Or they may require that more investigation be carried out.
There was a period of time where some of the more avant garde were modifying the formula for baptism, but unless there is evidence that a particular pastor or particular denomination adopted that as standard practice, the Church does not presuppose that it occurred.
I have looked at several Catholic documents containing lists of baptisms recognized and not recognized, and every one of them recognizes Baptist baptisms. So I have no idea where they OP saw something calling his into question. It appears the Church does not question it, unless the OP can provide more information.