how to filter searching in array field

I have a service which has an array field called categories, I want filter the response of with

```
"categories":"service"}
```

```
"categories":{"in":"service"}
```

```
"categories":{"in":["service"]}
```

```
"categories":{"inq":["service"]}
```

```
"categories":{"inq":"service"}
```

nothing works o.O
my data base is postgresql