Did I mess up reseeding?

This summer my lawn was completely destroyed due to the drought, so I decided to do a full reset.

Blank canvas, prepped the soil, seeded with Barenbrug blue lawn (30% bluegrass 25% ryegrass, 15% Hard fescue, 30% red fescue ) covered with a tiny bit of compost and watered twice a day.

Due to the heat and continuous drought the store adviced me to sow in october, seed was in the ground the 1st of october, I watered twice a day if it didnt rain.

We’re now the 28th. I would’ve expected a much better result by now, still lots of bare spots. Was october to late? Weather is cooling down quickly now so would be sad to learn alll my work and money was for nought.