How to store Azure Cognitive Search result into Cosmos DB

In the SkillSet of Azure Cognitive Search, we can define a knowledge store so that the search result to be saved to Azure table storage.

For example, the skill set below allows the search result to be stored in Azure table storage.

{
    "name": "your-skillset",
    "skills": [
    …your skills
    ],
"cognitiveServices": {
… your cognitive services key info
    },

    "knowledgeStore": {
    "storageConnectionString": "an Azure storage connection string",
    "projections" : [
        {
        "tables": [
            { "tableName": "MainTable", "generatedKeyName": "SomeId", "source": "/document/EnrichedShape" },
            { "tableName": "KeyPhrases", "generatedKeyName": "KeyPhraseId", "source": "/document/EnrichedShape/*/KeyPhrases/*" },
            { "tableName": "Entities", "generatedKeyName": "EntityId", "source": "/document/EnrichedShape/*/Entities/*" }
        ]
        },
        {
        "objects": [ ]
        },
        {
            "files": [ ]
        }
    ]
    }
}

I've modified the storageConnectionString to be the one from Cosmos DB expecting that the search result to be projected to cosmos DB, but it didn't and show the error message the storageConnectionString is not table connection string.

Is it possible to project Azure search results to Cosmos DB by configuring the skillset?