Tower controller reported an near midair collision that was attributed to procedures that were not c...

Narrative:

Today; [an aerial demonstration team was] practicing for the air show. Their tfr significantly encroached on our airspace leaving us with no room for go-arounds. Aircraft X went around on his own and got very close to one of the [aerial demonstration team's aircraft]. I don't know how close; but if I were able to file an near midair collision; I would.none of this was briefed to us. We had no idea what the procedures were supposed to be while this tfr was in effect. We were using runway 29 for arrivals and runway 21 for departures; but we had to figure that out for ourselves. We were playing completely by ear and pretty much just hoping to get through the demo. Two controllers worked well over two hours in position and one controller stayed late because he had no one to relieve him. The tfr also was not reflected in the notams. A tfr that didn't really affect us was [in the notams]; but the one that was in effect was not; at least to my knowledge.this seems pretty obvious. When something like an air show is imminent; the controllers should receive thorough briefings on the temporary procedures and be given the opportunity to express concerns and ask questions.

Original NASA ASRS Text

Title: Tower Controller reported an NMAC that was attributed to procedures that were not clear to the reporter relating to a TFR and go-around procedures.

Narrative: Today; [an aerial demonstration team was] practicing for the air show. Their TFR significantly encroached on our airspace leaving us with no room for go-arounds. Aircraft X went around on his own and got VERY close to one of the [aerial demonstration team's aircraft]. I don't know how close; but if I were able to file an NMAC; I would.None of this was briefed to us. We had no idea what the procedures were supposed to be while this TFR was in effect. We were using Runway 29 for arrivals and Runway 21 for departures; but we had to figure that out for ourselves. We were playing completely by ear and pretty much just hoping to get through the demo. Two controllers worked well over two hours in position and one controller stayed late because he had no one to relieve him. The TFR also was not reflected in the NOTAMs. A TFR that didn't really affect us was [in the NOTAMs]; but the one that was in effect was not; at least to my knowledge.This seems pretty obvious. When something like an air show is imminent; the controllers should receive thorough briefings on the temporary procedures and be given the opportunity to express concerns and ask questions.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.

Attributes
ACN	1628813
Time
Date	201903
Local Time Of Day	1801-2400
Place
Locale Reference	ZZZ.Tower
State Reference	US
Aircraft 1
Make Model Name	Military
Operating Under FAR Part	Part 91
Route In Use	Visual Approach
Flight Plan	VFR
Aircraft 2
Make Model Name	Military
Operating Under FAR Part	Part 91
Flight Plan	VFR
Person 1
Function	Other / Unknown
Qualification	Air Traffic Control Fully Certified
Experience	Air Traffic Control Time Certified In Pos 1 (yrs) 7
Events
Anomaly	ATC Issue All Types Airspace Violation All Types Conflict NMAC Deviation - Procedural Published Material / Policy

Tower controller reported an near midair collision that was attributed to procedures that were not clear to the reporter relating to a tfr and go-around procedures.