It really depends, since the alliances are so shiftable. Also the triggering incident could be very different.
You could have all the Balkan minor powers as a bloc and Russia vs AH and Ottomans. So Serbia, Bulgaria, Greece and Romania. So that might lead to a Serbia first offensive and earlier entry of all involved. The allies wouldn't be landing in Salonika but will have far more allies, in the Balkans. The Ottomans would be pressed on multiple fronts, so likely won't be making their failed offensives against Russia.
Or the Central Powers could gain a ally among them, with the Ottomans promising concessions.
Italy is also a issue. Does their defeat keep them out licking their wounds? Or do they jump in for round two, even with their finances in a worse state?
If the issue is Serbia provoking Austria Hungary, then they could be forced into compliance if the Ottomans and Austrians both bully them. They are smaller and could be totally overrun. So they might back down, and therefore no war. Russia would just have a reduced ally.
The Ottomans also directly border Austria-Hungary so perhaps the Berlin to Baghdad is further along.