Report, result, goals as Tom Brady claims bragging rights over Ryan Reynolds and Rob McElhenney in the EFL Championship.

Carlos Vicente and Christoph Klarer scored from corners as Birmingham City ended a three-game losing streak and climbed to 15th in the Championship by damaging Wrexham’s hopes of a win at St Andrew’s.

The hosts had all eight attempts on goal between the teams, making their victory three minutes after the restart when Vicente headed Kai Wagner’s ball past goalkeeper Arthur Okonkwo.

Captain Klarer then dived in from the far post to seal the win, meeting stoppage time substitute Paik Seung-Ho with 19 minutes to go.

The teams have been known for their high profile celebrity sponsors in recent times, but NFL icon and Birmingham small owner Tom Brady and Hollywood stars and Wrexham owners Rob McElhenney and Ryan Reynolds did not attend the game.

Analysis: Wrexham’s championship hopes are fading

Wrexham haven’t won back-to-back league games since February and their poor run of form continued as Phil Parkinson’s side stayed four points behind Hull City, who are in the final play-off spot and suffered a late defeat at mid-table Sheffield United on Saturday.

The prognosis was not good for Wrexham, who had not beaten Birmingham since the league began meeting between the sides in October 1979, losing four times and drawing three league games since then.

They lost four in the league at Birmingham and conceded 12 goals on the road, a much-needed lift from opponents who had picked up four points from their last eight league games and lost two of their last four at home, having been beaten in just one of their previous 41 games at St Andrew’s.

Birmingham City vs Wrexham team

Birmingham made three changes from their 2-1 defeat at home to Ipswich Town six days ago, including the return of defender Wagner – who returned from a five-game absence with a shoulder injury – in place of Jonathan Panzo.

Midfielder Tomoki Iwata and winger Ibrahim Osman came in for Paik Seung-Ho and Demarai Gray.

City of Birmingham starting XI: James Beadle, Bright Osayi-Samuel, Phil Neumann, Christoph Klarer, Kai Wagner, Carlos Vicente, Jhon Solís, Jay Stansfield, Tomoki Iwata, Ibrahim Osman, August Priske

Other places to stay in Birmingham: Ryan Allsop, Ethan Laird, Jack Robinson, Tommy Doyle, Paik Seung-Ho, Demarai Gray, Patrick Roberts, Kanya Fujimoto, Jonathan Panzo

Wrexham vs Birmingham City team

Wrexham also signed three players: defender Dan Scarr, Matty James – as captain, following a toe injury – and midfielder Ollie Rathbone.

Dom Hyam, Nathan Broadhead and Josh Windass moved to the bench.

Wrexham starting XI: Arthur Okonkwo, Max Cleworth, Dan Scarr, Callum Doyle, Issa Kabore, Matty James, George Dobson, George Thomason, Oliver Rathbone, Kieffer Moore, Lewis O’Brien

Wrexham Substitutes: Danny Ward, Sam Smith, Ryan Barnett, Nathan Broadhead, Ryan Longman, Lewis Brunt, Dominic Hyam, Davis Keillor-Dunn, Josh Windass

What’s next? Birmingham, Wrexham

Birmingham could do Wrexham a favor in their next game, away to Hull. Chris Davies’ side are now at home to Preston North End.

Wrexham host midfield Stoke City, then visit relegation-threatened Oxford United.