TAXIING TFC HITS TEMPORARY TAXI LIGHT PLACED IN POS DURING CONSTRUCTION ACTIVITY DURING A NIGHT OP.

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TAXIED OUT; AND NOSE GEAR TAXI LIGHT FAILED. USED L INBOARD LNDG LIGHT. AT CHARTED 60-70 DEG L TURN; GREEN TAXI LIGHTS ENDED. TURNED ON THE L RWY TURNOFF LIGHT TO FIND YELLOW TAXI LNDG. FO WAS IN PROCESS OF CHANGING TO TWR FREQ; AS DIRECTED AT THAT MOMENT BY GND CTL. WHEN HE LOOKED BACK UP; HE SAID; 'YOU'RE GONNA RUN OVER A TAXI LIGHT.' WE IMMEDIATELY FELT A THUMP. I STOPPED AND ASKED FOR TAXI BACK TO GATE TO HAVE ACFT INSPECTED. IT DIDN'T MOVE WITH NORMAL THRUST; SO WE REQUESTED A TUG FOR TOW. ARPT RAMP CTL CONFIRMED R OUTBOARD MAIN WAS FLAT; SO WE SHUT ENGS DOWN. COMPANY MAINT CHANGED BOTH TIRES (REQUIRED TO ALWAYS CHANGE IN PAIRS) ON TAXIWAY; INSPECTED ACFT; AND WE CONTINUED TO DEST. IT TURNS OUT THERE WAS A NOTAM INDICATING THAT THE TAXIWAY; AT THAT POINT; WAS RELOCATED 90 FT N AND CTRLINE LIGHTS WERE OTS. THIS NOTAM IS NOT IN OUR COMPANY PROVIDED BRIEFING MESSAGE. THE ATIS WE RECEIVED; A SPECIAL FOR TSTM OVERHEAD; MADE NO MENTION OF IT EITHER. THE ATIS I LISTENED TO DURING TIRE CHANGE DID CONTAIN THE NOTAM. THE NEXT DAY; MY COMPANY INCLUDED IT IN BRIEFING PACKAGE. IT WAS THE CONCRETE BASE OF A TEMPORARY TAXI LIGHT THAT WE CAUGHT BY ABOUT 3 INCHES. ANOTHER CARRIER'S WDB TOOK OUT 7 OF THEM RECENTLY ALSO; AND A RAMP CTL PERSON TOLD ME THAT 'EVERYONE'S BEEN COMPLAINING.' AS USUAL; THERE WERE MANY LINKS IN THE CHAIN -- THE ACFT TAXI LIGHT; THE MISSING NOTAMS; THE FREQ CHANGE. THE ELIMINATION OF ANY ONE OF THEM; AND I MAY NOT HAVE HIT THE LIGHT. STILL MY RESPONSIBILITY; HOWEVER.