Yes. I know.
And thus, it does not really exist, except as whatever the laws happens to say at the time.
So much for a "Constitutional" monarchy.
Ok, so you're on about an apple and you conclude with a pear.
In the English Civil Wars, the English Monarchy was replaced (
that's the part where American brains are still stuck in) with the Commonwealth of England (
that's the part American brains doesn't grasp). So Parliament took over control and the King/Queen (the Sovereign) became the Head of State (
they just rubber stamp what parliament do and forming a government bla bla is a tradition/routine thing).
There's a lot to it, you would have to look at the royal prerogative, Privy council, Legislative Executive and Judicial powers (
who does what), the Crown Estate etc.. etc..
But when someone says, "You bow to Monarchs, you're a subject, where's the constitution, and so on and so on", it means they have zero knowledge of the UK system and just repeat crap that sounds awesome to them, but when you read their comments, we cringe like hell because we feel so embarrassed for them.
At least I made an effort to go onto an American forum to learn how your political system works.