When a permanent with an on-play triggered ability (like Tibbers) is played, can an opponent react to remove it before the triggered ability goes on the chain?

Ruling: When a permanent with a triggered ability is played, it enters the chain and immediately leaves to the board without giving priority to players. The triggered ability then activates and enters the chain. Opponents cannot react to remove the permanent before its triggered ability triggers.

Sequence:

• Permanent enters the chain
• Permanent leaves the chain immediately to the board (no priority given)
• Triggered ability activates and enters the chain
• Players can now react to the triggered ability

Nuances:

• If the permanent is removed after its triggered ability enters the chain, the ability still resolves and does as much as possible
• Vanilla permanents (without triggered abilities) cannot be reacted to during the play process since they leave the chain instantaneously