The circuit makes a European two frequencies bee, boo, bee, boo sound instead of the smoothly sweeping frequencies slowly up and down from a North American siren. There is no link to your video. Another siren video on YouTube sounds great but its schematic is completely wrong.
Today your circuit has a 555 directly driving an 8 ohm speaker. With a 12V supply the output will try to go to +9.5V but its poor little output transistor has a max current rating of 0.2A but then 9.5V/8 ohms makes a current of 1.2A and blows it up.