As a comparison to the Netherlands, public transport always has right of way vs regular traffic, they have their own dedicated lanes that traffic isn't allowed into (this includes taxis! They can use the public transport lanes) and even their traffic signals treat them preferentially. I take a bus very often, and quite often it won't stop at a single red light because the traffic lights are programmed to help the flow of public transport, despite the street it travels on having 5 or 6 different traffic lights. In many cities, only public transport is allowed in some of the denser streets too, so they don't have to compete with other drivers on the road.
Trams, metros and trains are pretty obvious as to why they work so well.
Same with bike lanes. First of all, whenever they can be they are wholly separated from the main traffic and live in their own independent lanes. If a bike has to join regular streets, they have the right of way and these situations are kept at an absolute minimum. The streets and intersections themselves are also designed so that drivers are forced into driving safely via traffic easing measures and low speed limits. Plus, everyone here bikes, so there isn't the same type of animosity or stigma you see elsewhere because drivers understand what it's like to be a cyclist and view it as a normal thing.
So it's not your fault and you shouldn't feel bad, it's the fault of your government for not investing into proper public transport infrastructure. They are trying to squeeze in public transport infra into existing road infra, whereas what they should be doing is redesigning the current infra to make sure public transport is better integrated.
And, guess what, the roads here are still awesome for drivers! Other than the centers of the bigger cities, there isn't much congestion to speak of and the highways are of extremely high quality (to the point we have a billion memes about feeling the bumps of Belgium as soon as you cross the border). It's not like NL is a car-free utopia, something like 65% of people still have cars, the difference is that there are alternate options that are just as good, and often better than driving. That's the secret sauce to good public transport.