The initial problem you had was owners trying to get the upgrade of the balcony passed as an ordinary resolution when it requires a special resolution (SR) but the Strata Manager (SM) now agrees it requires a SR and so in effect you have won.
The 54% of owners who support this upgrade cannot proceed without a SR and they don’t have the numbers for it.
As to the conciliation as they have 54% of the vote they can vote down any motion to go to conciliation I’m afraid.
You need to supply the SM with a letter signed by 25% of the owners stating that any upgrade to the rails he authorizes will be illegal and he (or whoever authorizes it) will be liable for any expenditure unless so approved by a SR.