[arrays] How to filter an array of objects based on values in an inner array with jq?

Given this input:

[
  {
    "Id": "cb94e7a42732b598ad18a8f27454a886c1aa8bbba6167646d8f064cd86191e2b",
    "Names": [
      "condescending_jones",
      "loving_hoover"
    ]
  },
  {
    "Id": "186db739b7509eb0114a09e14bcd16bf637019860d23c4fc20e98cbe068b55aa",
    "Names": [
      "foo_data"
    ]
  },
  {
    "Id": "a4b7e6f5752d8dcb906a5901f7ab82e403b9dff4eaaeebea767a04bac4aada19",
    "Names": [
      "jovial_wozniak"
    ]
  },
  {
    "Id": "76b71c496556912012c20dc3cbd37a54a1f05bffad3d5e92466900a003fbb623",
    "Names": [
      "bar_data"
    ]
  }
]

I'm trying to construct a filter with jq that returns all objects with Ids that do not contain "data" in the inner Names array, with the output being newline-separated. For the above data, the output I'd like is

cb94e7a42732b598ad18a8f27454a886c1aa8bbba6167646d8f064cd86191e2b
a4b7e6f5752d8dcb906a5901f7ab82e403b9dff4eaaeebea767a04bac4aada19

I think I'm somewhat close with this:

(. - select(.Names[] contains("data"))) | .[] .Id

but the select filter is not correct and it doesn't compile (get error: syntax error, unexpected IDENT).

Here is another solution which uses any/2

map(select(any(.Names[]; contains("data"))|not)|.Id)[]

with the sample data and the -r option it produces

cb94e7a42732b598ad18a8f27454a886c1aa8bbba6167646d8f064cd86191e2b
a4b7e6f5752d8dcb906a5901f7ab82e403b9dff4eaaeebea767a04bac4aada19