TIRED FROM A SHORT OVERNIGHT AND DISTR BY OTHER EVENTS; CL65 FLT CREW TAKES OFF FROM RWY 3 VICE RWY 36 AT LSE.

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THE TRIP WAS A CONTINUOUS DUTY OVERNIGHT TRIP. ON ARR AT THE GATE; WE FOUND OUT THE FLT WAS WT CRITICAL. EVENTUALLY; WE HAD TO REMOVE 2 PAX FROM THE ACFT. ON THE WT CRITICAL NOTICE; THE ZERO FUEL WT WAS UNDERSTATED BY 1000 LBS. THE FLT TO MSP REQUIRED AN ALTERNATE AND ADDITIONAL FUEL. IN CONFERRING WITH DISPATCH; I WAS TOLD OF SHOWERS BTWN LSE AND MSP. ON TAXI OUT; WE WERE 300 LBS OVER XTOG. WE HAD TO HOLD SHORT OF THE RWY 3/36 THRESHOLD TO BURN OFF FUEL. AFTER XTOG WAS REACHED; WE CONTACTED ZMP FOR OUR IFR CLRNC TO MSP; AS THE TWR AT LSE WAS CLOSED AND THE FIELD UNCTLED. UPON RECEIVING OUR CLRNC; I TAXIED ONTO THE FIRST RWY (RWY 3) AND FAILED TO VERIFY THE PROPER HDG; THRUST LEVERS WERE ADVANCED TO THE FLEX TKOF THRUST SETTING; AND WE BEGAN OUR TKOF ROLL. ABOUT 2/3 OF THE WAY DOWN THE RWY; I REALIZED THE YELLOW 2000 FT LIGHTS WERE MUCH CLOSER THAN THEY SHOULD HAVE BEEN. IT WAS AT THAT POINT I REALIZED WE WERE ON THE WRONG RWY. AS WE WERE ALREADY OVER 100 KTS AND ACCELERATING; I MADE THE DECISION TO CONTINUE THE TKOF; RATHER THAN ATTEMPT A HIGH SPD ABORT. THRUST LEVERS WERE ADVANCED TO THE FULL THRUST POS TO INCREASE THE ACCELERATION. VR WAS REACHED WITH ABOUT 1000 FT LEFT ON THE RWY; THE ACFT WAS ROTATED AND THE TKOF AND FLT WERE COMPLETED NORMALLY. CONTRIBUTING FACTORS: 1) COMPLACENCY AND FAMILIARITY WITH THE ARPT. LED TO FAILURE TO REVIEW THE ARPT DIAGRAM. 2) EXTENDED TIME OFF AND RESULTING LACK OF PRACTICE WITH PROCS. 3) FIRST TRIP WITH FO. 4) LACK OF SLEEP DUE TO CDO. 5) DISTRS OF WT CRITICAL/OVERWT FLT. 6) CLOSE INTXN OF RWYS 3 AND 36; WITH DISPLACED THRESHOLD OF RWY 36. RWY LIGHTS FOR RWY 36 DID NOT BEGIN AT END OF RWY. HOLD SHORT LINE FOR BOTH RWYS SHORT OF RWY 3. THIS LED TO A LACK OF EXTERNAL VISUAL CUES OF THE INTERSECTING RWYS. 7) FAILURE TO VERIFY THE PROPER HDG ON TAKING THE RWY. CORRECTIVE ACTIONS: 1) DEAL WITH DEP BEFORE LNDG. THE FLT IS SHORT AND I WAS MORE CONCERNED WITH LNDG AT MSP THAN DEP FROM LSE. REVIEW ARPT DIAGRAM FOR EVERY DEP; REGARDLESS OF FAMILIARITY WITH ARPT. 2) ALWAYS VERIFY RWY HDG.