As of my current knowledge and the latest data I am capable of pulling up from ICANN’s (The Internet Corporation for Assigned Names and Numbers) TLD registry, the .REDUMBRELLA top-level domain does not exist. This contradicts the request made in your question regarding the .REDUMBRELLA TLD.
ICANN is a non-profit organization that coordinates the global internet’s systems of unique identifiers and ensures its stable and secure operation, which includes overseeing any top-level domains. The existing, official top-level domains (TLDs) contain two types: gTLD (generic Top Level Domains) and ccTLDs (country code Top Level Domains). Examples of gTLDs are .com, .org, .net etc. while ccTLDs examples include .us (United States), .jp (Japan), .de (Germany), and so on.
According to ICANN’s List of Top-Level Domains, a TLD like .REDUMBRELLA does not currently exist. You can verify this for yourself, using ICANN’s “Root Zone Database” (https://data.iana.org/TLD/tlds-alpha-by-domain.txt).
However, businesses, organizations, or individuals may apply for new TLDs through ICANN’s New gTLD program, provided the requested TLD is not already in use or reserved. This is a rather expensive process with a base application fee of $185,000, as mentioned in ICANN’s official Application Guidebook (https://newgtlds.icann.org/en/applicants/agb).
Your interest in .REDUMBRELLA could be from a branding perspective, such as REDUMBRELLA being the business or product name that you want to market as a unique TLD. In such a case, if .REDUMBRELLA doesn’t currently exist, you may consider applying to ICANN to create this new TLD, provided you are willing to meet the relevant requirements, policies, and fees.
Alternatively, if a TLD with this name was created recently, it could take some time before being recognized by ICANN and appearing in the global TLD registry.
In sum, as per the current sources pulled from ICANN, a .REDUMBRELLA TLD does not exist. Any potential creation of this TLD would have to be done through the NeW gTLD program via ICANN, subject to its specific requirements and regulations. This situation might change if the database updates in future to include such a TLD.
Sources:
1. The Internet Corporation for Assigned Names and Numbers: https://www.icann.org/
2. Root Zone Database, IANA: https://data.iana.org/TLD/tlds-alpha-by-domain.txt
3. New gTLD Program, ICANN: https://newgtlds.icann.org/en/applicants/agb