#JavaScript, 360
As requested, text based game, input via popup, output in console (so to have a monospaced font).
Quit game with 'q' or clicking 'cancel' at prompt.
Not using ES6 features, it should run on any moder browser (where you can have a JS console panel)
b='\n......'.repeat(6).split('');
for(h=t=0;!h&t<36;)
{
i=prompt();
if(i=='q')i=null;
i=i.match(/([0-5]) ([0-5]) ([XO])/);
m='INVALID';
if(b[p=i?i[2]*7-~i[1]:0]=='.')
{
++t;
b[p]=i[3];
m=b.join('');
for(x=z='',c=0;c++<6;)
for(x+='_',z+='_',r=0;r<6;r++)
x+=b[c+r*7],z+=b[c<4?c-1+r*8:c+1+r*6];
h=(/X{5}|O{5}/.test(b.join('')+x+z))
}
console.log(m);
}
console.log("P"+(2-h)+" WINS")