I am using the WinINet library to connect to a website.
Using Internet Explorer (Win10), it works and shows me a message to select the certificate to use.
This is the delphi code I call:
FUNCTION TRAD.lastOrganization(): Integer; VAR js:TlkJSONobject; ws: TlkJSONstring; url, resp: String; count,statusCodeLen, bodyCodeLen: Cardinal; header,tmp: String; buffer, body: String; statusCode: ARRAY [0 .. 1024] OF Char; bodyCode: ARRAY [0 .. 1024] OF Char; UrlHandle: HINTERNET; BEGIN buffer := '00000000000000000000'; url := contextUrl + '/rest/organization/count'; UrlHandle := InternetOpenUrl(NetHandle, PChar(url), nil, 0, INTERNET_FLAG_RELOAD, 0); IF NOT ASSIGNED(UrlHandle) THEN SHOWMESSAGE('Unable to read the amount of Organization using the URL ' + url + ': ' + SysErrorMessage(GetLastError)); statusCodeLen := Length(statusCode); bodyCodeLen := Length(bodyCode); count := 0; IF HttpQueryInfo(UrlHandle, HTTP_QUERY_STATUS_CODE, @statusCode[0], statusCodeLen, count) THEN BEGIN buffer := statusCode; IF buffer <> '200' THEN BEGIN ShowMessage('While read amount of Organization I got a status code ' + buffer + ' but 200 was expected.'); EXIT; END; END; count := 0; body := ''; REPEAT FillChar(bodyCode, bodyCodeLen, 0); IF NOT InternetReadFile(UrlHandle, @bodyCode[0], bodyCodeLen, count) THEN BEGIN ShowMessage('Problem on reading from response stream while read the amount of Organization using the URL ' + url + '.'); EXIT; END; IF count > 0 THEN BEGIN tmp := bodyCode; body := body + LeftStr(tmp, count); END; UNTIL count = 0; InternetCloseHandle(UrlHandle); Result := strtoint(body); END;
If I call the method, I get this message:

Buuut using Edge-Browser, I have to specify a certificate, and it works fine.

Question
How to specify a certificate?
Edit (new information):
If I changed the code to
FUNCTION TRAD.lastOrganization(): Integer; VAR js:TlkJSONobject; ws: TlkJSONstring; url, resp: String; count,statusCodeLen, bodyCodeLen: Cardinal; header,tmp: String; buffer, body: String; statusCode: ARRAY [0 .. 1024] OF Char; bodyCode: ARRAY [0 .. 1024] OF Char; UrlHandle: HINTERNET; BEGIN buffer := '00000000000000000000'; url := contextUrl + '/rest/organization/count'; UrlHandle := InternetOpenUrl(NetHandle, PChar(url), nil, 0, INTERNET_FLAG_RELOAD, 0); IF NOT ASSIGNED(UrlHandle) THEN raiseLastOSError();
He shows: 