In my opinion, it must be XXX in Tianjin. When you say XXX Tianjin Company, XXX must be the name of the group, and this company must be a subsidiary invested by the group, without brackets. The bracket (Tianjin) is not an administrative division, which does not conform to the Regulations on the Administration of Name Registration. General foreign companies use the words XXX (China) Company.
3 Duplicate names refer to names with the same pinyin in the same administrative division and the same industry as duplicate names. For example, if Tianjin Xinbai Trading Co., Ltd. and Tianjin Xinbai Economic and Trade Co., Ltd. repeat, it is determined that the repetition is limited to the brand name, that is, the word Xinbai -2. Whether it is called trading co., ltd. or economic and trade, its industry category is wholesale and retail. In addition, if the brand name is the same (for example, it is the same as Xinxing Baihe) or similar to a well-known trademark, it will easily lead to misunderstanding and will not be approved.
As for the details you mentioned, the Regulations on the Administration of Name Registration does not explicitly stipulate such details, but there is a clause that "it is easy to cause misunderstanding and will not be approved". Big XX or small XX is suspected of subjective judgment.
Others are stipulated by laws and regulations, and some details are mastered by the recipient according to the principles of laws and regulations. For example, it is not allowed to be called "Sino-Swiss" or "Zhongpu", which is easily mistaken for a Sino-foreign joint venture, and the name of the store cannot be confused with the description of the industry category. For example, the name of an electric power investment company cannot be called "wind power".
6 Name recognition is the same, and it is identified by Pinyin. There is no explicit provision in the regulations, but most registration authorities have mastered it in this way. Generally speaking, homophones (regardless of tone) are not allowed, and words are added before and after. If the same words are written in the same way, they are similar (for example, Xintai Ye Hao and Xintai), but if the words are different, they can be considered as different. If the inspectors are strict, there will be unqualified cases (such as Xintai Ye Hao and Xintai).
Generally, the laws and regulations related to names include the Provisions on the Administration of Enterprise Name Registration, the Measures for the Implementation of the Administration of Enterprise Name Registration, and possibly the Provisions on the Administration of Enterprise Name Registration in Tianjin (or measures and implementation measures).
I suggest you come up with many alternative names and try them in turn instead of running around every time.