• Writ against Order of Court which is admitted as evidence in another court by petitioner himself

Following is a generic description, here B refers to us and A refers to our opposite party.

A files a civil suit in Court 1 against B and gets dismissed, A files appeal in Court 1A.
B files a dispute with Court 2 against A and gets dismissed. B files an appeal in Court 2A and wins appeal in Court 2A. (Court 2A is a Tribunal under its Act).
The dispute as filed by B has connection to the civil suit filed by A but under a different Act and Court 1 is civil court while Court 2 is an alternative remedy under its own Act.
During the appeal hearing of B, plaintiff A wants to use the dismissal of B's suit as evidence under o. 41 r. 27 in Court 1A. The court 1A allows the petition and B prefers an revision in High Court. The High Court decides not to interfere. Fortunately, for B, the day before the High Court orders it will not interfere, Court 2A decides in favour of B. Now A has no interest in his petition for additional evidence and the Court 1A would not let him delay further and gets into final hearing of appeal.
As per statute an order by Court 2A is appealable to High Court.
Question:- Can B now prefer a Writ against order of Court 2A? Particularly when B had wanted order of Court 2 as evidence in Court 1A and the Court 1A had admitted the evidence on record?