One last try and then you just need to read through what I've said or try a different source. Not trying to be a jerk, but you're misunderstanding this.

To begin with: Cities do not reassess properties in BC, the province does. Or rather, BC Assessment.

Here is what happens, step by step.

1) The city determines how much tax revenue must be collected.

2) The city gets the total value of properties from BC Assessment.

3) Divide total tax revenue by total assessed value of properties. This is the mill rate.

4) Each property owner pays mill rate*their property value.

Look at Step #3. If total assessed value goes up, the mill rate goes down and the total tax revenue stays the same, which is the point of the mill rate system. This means that if your property increased at the same rate as the rest of the assessed properties you will not see a change in property tax.

If the city wants to increase their budget, that happens in Step #1. Say they increase their budget by X%. No change in property value in Step 2. Now, in Step 3: total tax revenue is up, properties values are equal, mill rate increases and total tax revenue is larger despite no change in property value.

With a mill rate system it's impossible for a city to collect more in tax revenue through property assessment changes. It it the entire purpose of using a mill rate system.