I don't understand why this is not an efficient solution.
It is inefficient because you have to retrieve and break/search that string for every query.
When you do something like (as mentioned in your links) Three tables (one for storing all items, one for all tags, and one for the relation between the two)
then you can use the real power of a relational database, the index.
Instead of breaking each string into a tag or set of tags... that's already done; you just get the ones you want. So, if you're searching for "shoes" then it goes straight there (using the index probably log n or faster) and returns both Nike and GAP. It will do this no matter how many tags you have, no matter how many companies you have.
With the 3-table system you do all of the hard work up front and then just do lookups.
If you intend to run this locally or with a limited number of users your solution may be fine. It is also easier to code.
Once your queries start taking more than a few seconds you'll probably want to update your tagging system. If you do it this way, write the search code separately in case you need to rip it out.
Question from comment:
Can you give an example of a 3 table system that is normalized with
atomicity
Sure.
You've basically asked for Third Normal Form which is my usual goal.
(I admit I often don't make 3NF because I optimize; e.g. storing a postal code with the addres - if you're out of school, that's a better choice)
--Sample SQL stackoverflow.com/questions/50793168/database-design-for-tags-or-tagging/50818392
IF NOT EXISTS (SELECT * FROM sys.schemas WHERE name = N'ChrisC')
BEGIN
EXEC sys.sp_executesql N'CREATE SCHEMA [ChrisC] AUTHORIZATION [dbo]'
IF NOT EXISTS (SELECT * FROM sys.objects WHERE object_id = OBJECT_ID(N'[ChrisC].[Brands]') AND type in (N'U'))
AND NOT EXISTS (SELECT * FROM sys.objects WHERE object_id = OBJECT_ID(N'[ChrisC].[BrandTags]') AND type in (N'U'))
AND NOT EXISTS (SELECT * FROM sys.objects WHERE object_id = OBJECT_ID(N'[ChrisC].[Tags]') AND type in (N'U'))
BEGIN
CREATE TABLE [ChrisC].[Brands]([pkBrand] [int] IDENTITY(101,1) NOT NULL,[Name] [varchar](40) NULL) ON [PRIMARY]
INSERT INTO [ChrisC].[Brands]([Name])VALUES('Nike'),('GAP')
CREATE TABLE [ChrisC].[BrandTags]([pk] [int] IDENTITY(1,1) NOT NULL,[Brand] [int] NULL,[Tag] [int] NULL) ON [PRIMARY]
INSERT INTO [ChrisC].[BrandTags]([Brand],[Tag])VALUES
(101,201),(101,202),(101,203),(101,204),(101,205),(101,206),(101,207),
(102,208),(102,209),(102,203),(102,207),(102,210)
CREATE TABLE [ChrisC].[Tags]([pkTag] [int] IDENTITY(201,1) NOT NULL,[Tag] [varchar](40) NULL) ON [PRIMARY]
INSERT INTO [ChrisC].[Tags]([Tag])VALUES
('bags'),('football'),('shoes'),('soccer'),('sports'),('track-pants'),('t-shirts'),('jeans'),('perfumes'),('wallets')
SELECT b.[Name], t.Tag
FROM chrisc.Brands b
LEFT JOIN chrisc.BrandTags bt ON pkBrand = Brand
LEFT JOIN chrisc.Tags t ON bt.Tag = t.pkTag
WHERE b.[Name] = 'Nike'
-- Stop execution here to see the tables with data
DROP TABLE [ChrisC].[Brands]
DROP TABLE [ChrisC].[BrandTags]
DROP TABLE [ChrisC].[Tags]
END
IF EXISTS (SELECT * FROM sys.schemas WHERE name = N'ChrisC') DROP SCHEMA [ChrisC]
END