setPaintProperty will request tiles again

Nobody has claimed this yet.

### mapbox-gl-js version

v3.8.0

### Browser and version

141.0.7390.65

### Expected behavior

Tiles are not requested again when running `setPaintProperty`

### Actual behavior

Tiles are requested again when running `setPaintProperty`

### Link to the demonstration

_No response_

### Steps to trigger the unexpected behavior

When i run `setPaintProperty` on our vector tiles (running on our own tileservice, created with tippicanou) than it request some tiles again.

its happen for example when i switch between this two styles.

```
map.setPaintProperty("cableLayer", "line-color", "red")
```

```
map.setPaintProperty("cableLayer", "line-color", [

"case",
[
"==",
[
"get",
"type"
]
,
"5"
],
"#686868",
"#686768"
]
)
```

but not when i run the same style again or this, without `get`
```
map.setPaintProperty("cableLayer", "line-color", [

"case",
[
"==",
[
"string", //<==========
"type"
]
,
"5"
],
"#686868",
"#686768"
]
)
```

so i beleave its happend because of the `get` expression.

i tested it also on the default mapbox style but woudnt get this behaviour.

this is the source config
```
{
"type": "vector",
"promoteId": {
"cable": "id"
},
"tiles": [
"https://xxxxx.com/{z}/{x}/{y}?regionId=yyyyy&scenarioId=defaultScenario&year=2025"
],
"bounds": [
6.005877,
51.617003,
6.229508,
51.791297
],
"minzoom": 10,
"maxzoom": 18
}
```

### Relevant log output

```shell

```

Start at the map.setPaintProperty entry point and reproduce the supplied vector-source case with the two line-color expressions, comparing tile requests for get versus string. Confirm the behavior with a minimal example and identify whether the extra requests are expected; done means the cause and a reliable regression test or reproduction are established.

Written by the indexing model from the issue text.