Search object a element and return the element and parents

Question

I want to make a search from object JSON but when a I found the element I want to be returned with his previous parents.

 [
  {
    "name": "level1",
    "children": [
      {
        "name": "level2",
        "children": [
          {
            "name": "level3a",
            "children": [
              {
                "name": "text",
                "more": "info"
              },
              {
                "name": "text Abc",
                "more": "info"
              }
            ]
          },
          {
            "name": "level3b",
            "children": [
              {
                "name": "text-C",
                "more": "info"
              },
              {
                "name": "search",
                "more": "info"
              }
            ]
          },
          {
            "name": "level3c",
            "children": [
              {
                "name": "info-C",
                "more": "info"
              },
              {
                "name": "search",
                "more": "info"
              }
            ]
          }
        ]
      }
    ]
  },
  {
    "name": "level1",
    "children": [
      {
        "name": "level2a",
        "children": [
          {
            "name": "level3",
            "children": [
              {
                "name": "text A",
                "more": "info"
              }
            ]
          },
        ]
      },
      {
        "name": "level2b",
        "children": [
          {
            "name": "level3",
            "children": [
              {
                "name": "text X",
                "more": "info"
              }
            ]
          },
        ]
      }
    ]
  }
]

For example: if want to search "text" I want result like this

[
  {
    "name": "level1",
    "children": [
      {
        "name": "level2",
        "children": [
          {
            "name": "level3a",
            "children": [
              {
                "name": "text",
                "more": "info"
              },
              {
                "name": "text Abc",
                "more": "info"
              }
            ]
          },
          {
            "name": "level3b",
            "children": [
              {
                "name": "text-C",
                "more": "info"
              }
            ]
          }
        ]
      }
    ]
  },
  {
    "name": "level1",
    "children": [
      {
        "name": "level2a",
        "children": [
          {
            "name": "level3",
            "children": [
              {
                "name": "text A",
                "more": "info"
              }
            ]
          },
        ]
      },
      {
        "name": "level2b",
        "children": [
          {
            "name": "level3",
            "children": [
              {
                "name": "text X",
                "more": "info"
              }
            ]
          },
        ]
      }
    ]
  }
]

Things to considerer

1. only "search" in level 3 children by name property
2. if one o more childrens matches the search, return all of them

Basically I need to filter by the last level of object with elements matches with the search and return them with them parents.