Hey y'all, in case you didn't catch it, workplace romance can be achieved if you say 'No' to the council. It takes a while, but your Royal Advisor will ask if you want to go out. It took me until Day 103 for the full conversation. (It started around day 50).
Someone took some screenshots of the talk: https://imgur.com/a/qY5cx
Also, I saw somewhere that the romance works this way whether you are a king or queen (I've only tried it as a King).